Least Common Multiple of 60/546, 375/827, 163/526

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/546, 375/827, 163/526 quickly i.e. 244500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/546, 375/827, 163/526 is 244500.

LCM(60/546, 375/827, 163/526) = 244500

LCM of 60/546, 375/827, 163/526

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 60/546,375/827,163/526

Given numbers are 60/546,375/827,163/526

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 60,375,163

Least Common Multiple of Numerators i.e. LCM of 60,375,163 is 244500.

GCF of Denominators means GCF of 546,827,526 as per the given fractions.

GCF of 546,827,526 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,375,163

LCM of Fractions 60/546,375/827,163/526 is 244500

3 60, 375, 163
5 20, 125, 163
4, 25, 163

∴ So the LCM of the given numbers is 3 x 5 x 4 x 25 x 163 = 244500

Least Common Multiple of 60,375,163 with GCF Formula

Least Common Multiple of 60,375,163 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 60,375,163 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,375,163) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(60,375,163) x common factors =1 x 15 = 15

LCM(60,375,163) = ( 60 × 375 × 163 ) / 15

LCM(60,375,163) = 3667500 / 15

LCM(60,375,163) = 244500


Lets's calculate GCF of 546,827,526

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 244500/1

Therefore the LCM of Fractions 60/546,375/827,163/526 is 244500

Greatest Common Factor of 546,827,526 By Matching Biggest Common Factor Method

Greatest Common Factor of 546,827,526 By Matching Biggest Common Factor Method

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Greatest Common Factor

We found the factors 546,827,526 . The biggest common factor number is the GCF number.
So the greatest common factor 546,827,526 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 60/546, 375/827, 163/526

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 60/546, 375/827, 163/526?

Answer: LCM of Numerators as per given numbers 60/546, 375/827, 163/526 is

LCM of Numerators i.e. for 60,375,163 is 244500

GCF of denominators i.e. for 546,827,526 is 1.

Thus, LCM of Fractions is 244500.Finally, LCM of Fractions for 60/546, 375/827, 163/526 is 244500.